QQuestionMathematics
QuestionMathematics
Draw a rotation of the parallelogram 90° counterclockwise about the origin.
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Answer
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Step 1:I'll solve this step-by-step while carefully following the LaTeX formatting guidelines:
Step 2:: Understand the Rotation
- A 90° counterclockwise rotation about the origin means each point (x, y) will transform to (-y, x) - This rotation preserves the shape and size of the original parallelogram
Step 3:: Identify Original Coordinates
- $$D(1, 2)
The original parallelogram has vertices at:
Step 4:: Apply Rotation Transformation
- $$D(1, 2) \rightarrow D'(-2, 1)
Applying the 90° counterclockwise rotation:
Step 5:: Verify Transformation
- The rotated shape maintains the same dimensions - The orientation has changed by 90° counterclockwise
Final Answer
The rotated parallelogram has vertices at A'(0, 0), B'(0, 3), C'(- 2, 4), D'(- 2, 1).
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